381525632352 has 480 divisors, whose sum is σ = 1234432029600. Its totient is φ = 115059474432.

The previous prime is 381525632339. The next prime is 381525632377. The reversal of 381525632352 is 253236525183.

381525632352 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 2 + 5 + 632 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381525632298 and 381525632307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 374411299 + ... + 374412317.

It is an arithmetic number, because the mean of its divisors is an integer number (2571733395).

Almost surely, 2^381525632352 is an apocalyptic number.

381525632352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381525632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617216014800).

381525632352 is an abundant number, since it is smaller than the sum of its proper divisors (852906397248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381525632352 is a wasteful number, since it uses less digits than its factorization.

381525632352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1363 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 381525632352 in words is "three hundred eighty-one billion, five hundred twenty-five million, six hundred thirty-two thousand, three hundred fifty-two".